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引用次数: 2
摘要
我们研究了Bier球的隐几何Bier(K) = K * ?K ?通过描述它们的自然几何实现，计算它们的体积，描述它们的多面性的有效准则，并将Bier(K)与Braid扇的自然粗化扇(K)联系起来。我们还建立了最大体积Bier球与经典Van Kampen-Flores定理的最新推广之间的联系，并阐明了Bier球在广义复面体理论中的作用。
Bier spheres of extremal volume and generalized permutohedra
We study hidden geometry of Bier spheres Bier(K) = K * ? K? by describing
their natural geometric realizations, compute their volume, describe an
effective criterion for their polytopality, and associate to Bier(K) a
natural coarsening Fan(K) of the Braid fan. We also establish a connection
of Bier spheres of maximal volume with recent generalizations of the
classical Van Kampen-Flores theorem and clarify the role of Bier spheres in
the theory of generalized permutohedra.
期刊介绍：
Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).
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